Finite Group Databasebeta

← Group #11713663

Character table — Group #11713663

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224466668888881212161616161616242424242424242424243232323248484848
order122244882244344666881212242424242244448888121212122488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111-1-111111111111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111-1111-1-111-1-1-1-11-111-1-1-1-11111-1-11-11-1
χ6111111-1-1111111-1111-1-111-1-1-1-11-1-1-11111-1-111-1-1-11-11
χ7111111-1-111111-11111-1-111-1-1-1-1-1111-1-1-1-111-1-111-11-11
χ8111111-1-111111-11111-1-111-1-1-1-1-11-1-11111-1-1-1-1111-11-1
χ9222222222222-122-1-1-122-1-1-1-1-1-12200000000-1-1-1-10000
χ10222222222222-1-2-2-1-1-122-1-1-1-1-1-1-2-20000000011110000
χ11222222-2-22222-12-2-1-1-1-2-2-1-111112-200000000-1-1110000
χ12222222-2-22222-1-22-1-1-1-2-2-1-11111-220000000011-1-10000
χ132222-2-200-2-22220022200-2-20000002-200002-200000000
χ142222-2-200-2-22220022200-2-2000000-220000-2200000000
χ152-2-222-22-22-2-22200-2-222-2-2222-2-2000000000000000000
χ162-2-222-22-22-2-22-10011-12-21-1-1-1110000000000−i3i3−i3i30000
χ172-2-222-22-22-2-22-10011-12-21-1-1-1110000000000i3−i3i3−i30000
χ182-2-222-2-222-2-22200-2-22-22-22-2-222000000000000000000
χ192-2-222-2-222-2-22-10011-1-221-111-1-10000000000−i3i3i3−i30000
χ202-2-222-2-222-2-22-10011-1-221-111-1-10000000000i3−i3−i3i30000
χ212-2-22-2200-22-22200-2-22002-2000000002-22-20000000000
χ222-2-22-2200-22-22200-2-22002-200000000-22-220000000000
χ2333333333-1-1-1-1033000-1-1000000-1-111-1-111-1-1000011-1-1
χ2433333333-1-1-1-1033000-1-1000000-1-1-1-111-1-1110000-1-111
χ2533333333-1-1-1-10-3-3000-1-10000001111-1-111-1-10000-1-111
χ2633333333-1-1-1-10-3-3000-1-100000011-1-111-1-111000011-1-1
χ27333333-3-3-1-1-1-103-300011000000-111111-1-1-1-100001-1-11
χ28333333-3-3-1-1-1-103-300011000000-11-1-1-1-111110000-111-1
χ29333333-3-3-1-1-1-10-33000110000001-11111-1-1-1-10000-111-1
χ30333333-3-3-1-1-1-10-33000110000001-1-1-1-1-1111100001-1-11
χ314444-4-400-4-444-200-2-2-200220000000000000000000000
χ324-4-44-4400-44-44-20022-200-220000000000000000000000
χ336666-6-60022-2-200000000000000002-20000-2200000000
χ346666-6-60022-2-20000000000000000-2200002-200000000
χ356-6-666-66-6-222-2000000-22000000000000000000000000
χ366-6-666-6-66-222-20000002-2000000000000000000000000
χ376-6-66-66002-22-20000000000000000002-2-220000000000
χ386-6-66-66002-22-2000000000000000000-222-20000000000
χ3988-8-8000000002002-2-20000i6−i6i6−i6000000000000000000
χ4088-8-8000000002002-2-20000−i6i6−i6i6000000000000000000
χ4188-8-800000000-400-44400000000000000000000000000
χ428-88-800000000200-22-20000i6−i6−i6i6000000000000000000
χ438-88-800000000200-22-20000−i6i6i6−i6000000000000000000
χ448-88-800000000-4004-4400000000000000000000000000

Here i is the imaginary unit (i² = −1).